What is the Least Common Multiple of 94725 and 94740?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 94725 and 94740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94725 and 94740, than apply into the LCM equation.

GCF(94725,94740) = 15
LCM(94725,94740) = ( 94725 × 94740) / 15
LCM(94725,94740) = 8974246500 / 15
LCM(94725,94740) = 598283100

Least Common Multiple (LCM) of 94725 and 94740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94725 and 94740. First we will calculate the prime factors of 94725 and 94740.

Prime Factorization of 94725

Prime Factorization of 94740

Now multiplying the highest exponent prime factors to calculate the LCM of 94725 and 94740.

LCM(94725,94740) = 3² × 5² × 421¹ × 2² × 1579¹
LCM(94725,94740) = 598283100